Question

Idk how to start this

Answer 1

`h^(-1)(x)=(5x+4)/(1-x)`

Explanation:

Write the given expression in terms of y and x:

`y=(x-4)/(x+5)`

Then swap the positions of x and y, and solve for y.

`x=(y-4)/(y+5)\\\\xy+5x=y-4 \qquad\text{multiply by y+5}\\\\5x+4=y-xy \qquad\text{add 4-xy}\\\\(5x+4)/(1-x)=y \qquad\text{divide by the coefficient of y}\\\\h^(-1)(x)=(5x+4)/(1-x) \qquad\text{put in function form}`